x(x+2)=5(x+x+2)-10

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Solution for x(x+2)=5(x+x+2)-10 equation:


Simplifying
x(x + 2) = 5(x + x + 2) + -10

Reorder the terms:
x(2 + x) = 5(x + x + 2) + -10
(2 * x + x * x) = 5(x + x + 2) + -10
(2x + x2) = 5(x + x + 2) + -10

Reorder the terms:
2x + x2 = 5(2 + x + x) + -10

Combine like terms: x + x = 2x
2x + x2 = 5(2 + 2x) + -10
2x + x2 = (2 * 5 + 2x * 5) + -10
2x + x2 = (10 + 10x) + -10

Reorder the terms:
2x + x2 = 10 + -10 + 10x

Combine like terms: 10 + -10 = 0
2x + x2 = 0 + 10x
2x + x2 = 10x

Solving
2x + x2 = 10x

Solving for variable 'x'.

Reorder the terms:
2x + -10x + x2 = 10x + -10x

Combine like terms: 2x + -10x = -8x
-8x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-8x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x = 0 + 8
x = 0 + 8

Combine like terms: 0 + 8 = 8
x = 8

Simplifying
x = 8
Solution
x = {0, 8}

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